What is (10/3)^30.3^{-1} ?

The solution to (10/3)^30.3^{-1} is 123.45679…

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simplify (10/3)^30.3^{-1}

simplify

(\frac{10}{3})^{3} 0. 3^{- 1}

123.45679 \dots

Solution steps

(\frac{10}{3})^{3} \cdot 0. 3^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= (\frac{10}{3})^{3} \frac{1}{0.3}

(\frac{10}{3})^{3} = \frac{1 0 ^{3}}{3 ^{3}}

= \frac{1}{0.3} \cdot \frac{1 0 ^{3}}{3 ^{3}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 0 ^{3} \cdot 1}{3 ^{3} \cdot 0.3}

Multiply:

1 0^{3} \cdot 1 = 1 0^{3}

= \frac{1 0 ^{3}}{3 ^{3} \cdot 0.3}

1 0^{3} = 1000

= \frac{1000}{3 ^{3} \cdot 0.3}

3^{3} \cdot 0.3 = 8.1

= \frac{1000}{8.1}

Divide the numbers:

\frac{1000}{8.1} = 123.45679 \dots

= 123.45679 \dots

(1 - x)^{- \frac{1}{2}}

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(3 - 5) (3 - 5)

\frac{x}{x + x + x}